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Finding the Fourth Proportional to 83,818.20, 125,873.10 and 81,193.80

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Solution

The fourth proportional to 83,818.20, 125,873.10 and 81,193.80 is: 121,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,818.20 : 125,873.10 = 81,193.80 : x
  2. Step 2: Convert to fraction form
    83,818.20/125,873.10 = 81,193.80/x
  3. Step 3: Cross multiply
    83,818.20x = 125,873.10 × 81,193.80
  4. Step 4: Simplify right side
    83,818.20x = 10,220,115,306.78
  5. Step 5: Solve for x
    x = 10,220,115,306.78/83,818.20
  6. Step 6: Final answer
    x = 121,931.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.